Slightly more efficient promoter?

I've been cloning a GFP reporter plasmid that uses a repeated response element to drive transcription from a 72bp minimal promoter. However, I'm unable to induce GFP expression in my cells in the presence of the relevant transcription factor. I was wondering if I can replace the minimal promoter with a slightly more efficient one that would give higher expression, but in a way that I can still see an induction by the response elements?